Information on Result #654968
Linear OA(8160, 171, F81, 53) (dual of [171, 111, 54]-code), using algebraic-geometric code AG(F,117P) based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8163, 174, F81, 55) (dual of [174, 111, 56]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(8161, 174, F81, 53) (dual of [174, 113, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(8165, 176, F81, 56) (dual of [176, 111, 57]-code) | [i] | ✔ | |
| 4 | Linear OA(8162, 176, F81, 53) (dual of [176, 114, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(8167, 178, F81, 57) (dual of [178, 111, 58]-code) | [i] | ✔ | |
| 6 | Linear OA(8163, 178, F81, 53) (dual of [178, 115, 54]-code) | [i] | ✔ | |
| 7 | Linear OA(8169, 180, F81, 58) (dual of [180, 111, 59]-code) | [i] | ✔ | |
| 8 | Linear OA(8164, 180, F81, 53) (dual of [180, 116, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(8171, 182, F81, 59) (dual of [182, 111, 60]-code) | [i] | ✔ | |
| 10 | Linear OA(8165, 182, F81, 53) (dual of [182, 117, 54]-code) | [i] | ✔ | |